Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575s |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2446421484375 = -1 · 36 · 58 · 112 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3349,10073] |
[a1,a2,a3,a4,a6] |
Generators |
[33:379:1] |
Generators of the group modulo torsion |
j |
265971760991/156570975 |
j-invariant |
L |
10.113896128008 |
L(r)(E,1)/r! |
Ω |
0.49524118895784 |
Real period |
R |
1.7018468902198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715b1 |
Quadratic twists by: 5 |